Information on Result #672765
Linear OA(253, 8192, F2, 9) (dual of [8192, 8139, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(267, 8206, F2, 11) (dual of [8206, 8139, 12]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(254, 8206, F2, 9) (dual of [8206, 8152, 10]-code) | [i] | ✔ | |
| 3 | Linear OA(267, 8207, F2, 11) (dual of [8207, 8140, 12]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(254, 8207, F2, 9) (dual of [8207, 8153, 10]-code) | [i] | ✔ | |
| 5 | Linear OOA(253, 4096, F2, 2, 9) (dual of [(4096, 2), 8139, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(253, 2048, F2, 4, 9) (dual of [(2048, 4), 8139, 10]-NRT-code) | [i] | ||